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We study topological vortex phases in iron-based superconductors. Besides the previously known vortex end Majorana zero modes (MZMs) phase stemming from the existence of a three dimensional (3D) strong topological insulator state, we show…

Superconductivity · Physics 2019-09-05 Shengshan Qin , Lunhui Hu , Xianxin Wu , Xia Dai , Chen Fang , Fu-chun Zhang , Jiangping Hu

Vortex lines, known as topological defects, are cable of trapping Majorana modes in superconducting topological materials. Previous studies have primarily focused on topological bands with conventional s-wave pairing. However, topological…

Superconductivity · Physics 2026-02-02 Zhongyi Zhang , Zixi Fang , Shengshan Qin , Peng Zhang , Hoi Chun Po , Xianxin Wu

Vortex lines in superconducting Dirac semimetals realize crystal-symmetry-protected gapless vortex-line phases in which gapless excitations propagate inside a vortex line, in the presence of appropriate crystal symmetry, spin-orbit…

Superconductivity · Physics 2023-07-12 Shingo Kobayashi , Shuntaro Sumita , Motoaki Hirayama , Akira Furusaki

Time-reversal invariant (TRI) Dirac and Weyl semimetals in three dimensions (3D) can host open Fermi arcs and spin-momentum locking Fermi loops on the surfaces. We find that when they become superconducting with $s$-wave pairing and the…

Superconductivity · Physics 2020-07-07 Zhongbo Yan , Zhigang Wu , Wen Huang

We demonstrate a topological classification of vortices in three dimensional time-reversal invariant topological superconductors based on superconducting Dirac semimetals with an s-wave superconducting order parameter by means of a pair of…

Mesoscale and Nanoscale Physics · Physics 2017-06-21 Pedro L. S. Lopes , Jeffrey C. Y. Teo , Shinsei Ryu

Based on first-principles calculation and effective model analysis, we propose that the cubic antiperovskite material Cu$_3$PdN can host a three-dimensional (3D) topological nodal line semimetal state when spin-orbit coupling (SOC) is…

Materials Science · Physics 2015-07-21 Rui Yu , Hongming Weng , Zhong Fang , Xi Dai , Xiao Hu

We propose and characterize a new $\mathbb{Z}_2$ class of topological semimetals with a vanishing spin--orbit interaction. The proposed topological semimetals are characterized by the presence of bulk one-dimensional (1D) Dirac Line Nodes…

Materials Science · Physics 2015-12-03 Youngkuk Kim , Benjamin J. Wieder , C. L. Kane , Andrew M. Rappe

The discovery of topological semimetal phase in three-dimensional (3D) systems is a new breakthrough in topological material research. Dirac nodal-line semimetal is one of the three topological semimetal phases discovered so far; it is…

Materials Science · Physics 2016-07-06 Jin Hu , Zhijie Tang , Jinyu Liu , Xue Liu , Yanglin Zhu , David Graf , Yanmeng Shi , Shi Che , Chun Ning Lau , Jiang Wei , Zhiqiang Mao

The topological properties observed in iron-based superconductors extend our understanding of vortex Majorana quasiparticle excitations in unexpected ways. Vortex Majorana physics has been extensively studied within the context of the…

Although the appearance of vortex-localized states with zero energy in first-order topological superconductors is well known, their possibility to form in the higher-order topological phase of 2D systems has not been completely uncovered…

Superconductivity · Physics 2025-06-06 A. D. Fedoseev , A. O. Zlotnikov

The extension of the topological classification of band insulators to topological semimetals gave way to the topology classes of Dirac, Weyl, and nodal line semimetals with their unique Fermi arc and drum head boundary modes. Similarly,…

Dirac semimetals, with their protected Dirac points, present an ideal platform for realizing intrinsic topological superconductivity. In this work, we investigate superconductivity in a two-dimensional, square-lattice nonsymmorphic Dirac…

Superconductivity · Physics 2025-12-03 Xiao-Jiao Wang , Yijie Mo , Zhi Wang , Zhigang Wu , Zhongbo Yan

Disordered noninteracting quasiparticles that are governed by a Majorana-type Hamiltonian -- prominent examples are dirty superconductors with broken time-reversal and spin-rotation symmetry, or the fermionic representation of the 2d Ising…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. Bocquet , D. Serban , M. R. Zirnbauer

Lately, the three-dimensional (3D) Dirac semimetal, which possesses 3D linear dispersion in electronic structure as a bulk analogue of graphene, has generated widespread interests in both material science and condensed matter physics. Very…

Superconductivity · Physics 2015-12-31 He Wang , Huichao Wang , Haiwen Liu , Hong Lu , Wuhao Yang , Shuang Jia , Xiong-Jun Liu , X. C. Xie , Jian Wei , Jian Wang

As a new type of quantum matter, Dirac node line (DNL) semimetals are currently attracting widespread interest in condensed matter physics and material science. The DNL featured by a closed line consisting of linear band crossings in the…

Materials Science · Physics 2016-12-21 Bo Yang , Xiaoming Zhang , Mingwen Zhao

Topological nodal superconductors possess gapless low energy excitations that are characterized by point or line nodal Fermi surfaces. In this work, using a coupled wire construction, we study topological nodal superconductors that have…

Strongly Correlated Electrons · Physics 2018-11-28 Moon Jip Park , Syed Raza , Matthew J. Gilbert , Jeffrey C. Y. Teo

Topological semimetals (TSMs) in which conduction and valence bands cross at zero-dimensional (0D) Dirac nodal points (DNPs) or 1D Dirac nodal lines (DNLs), in 3D momentum space, have recently drawn much attention due to their exotic…

Mesoscale and Nanoscale Physics · Physics 2018-12-05 Jianfeng Wang , Yizhou Liu , Kyung-Hwan Jin , Xuelei Sui , Wenhui Duan , Feng Liu , Bing Huang

Under what conditions does a superconductor inherit topologically protected nodes from its parent normal state? In the context of Weyl semimetals with broken time-reversal symmetry, the pairing order parameter is classified by monopole…

Superconductivity · Physics 2022-03-02 Chiu Fan Bowen Lo , Hoi Chun Po , Andriy H. Nevidomskyy

Dirac semimetals host bulk band-touching Dirac points and a surface Fermi loop. We develop a theory of superconducting Dirac semimetals. Establishing a relation between the Dirac points and the surface Fermi loop, we clarify how the…

Superconductivity · Physics 2015-11-03 Shingo Kobayashi , Masatoshi Sato

The interplay of time-reversal and $n$-fold rotation symmetries ($n=2,4,6$) is known to bring a new class of topological crystalline insulators (TCIs) having $n$ surface Dirac cones due to surface rotation anomaly. We show that the…

Superconductivity · Physics 2020-11-25 Shingo Kobayashi , Akira Furusaki
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